The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms

Abstract

We consider the Heavy Quark Expansion (HQE) for the nonleptonic decay rates of heavy hadrons, and compute the NLO QCD corrections to power terms up to order $1/m_Q^2$. We neglect the masses of the final-state quarks, so the application of our result is mainly for charmed hadrons. Our result can be applied also to bottomed hadrons as they constitute the main effect to this order up to corrections of $\mathcal{O}(m_c/m_b)$ and contributions due to penguin operators. We discuss the impact of our result for the lifetimes of heavy hadrons.

17 pages, 8 figures

References in corpus (16)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Higher Order Power Corrections in Inclusive B Decays
• ColorMath - A package for color summed calculations in SU(Nc)
• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• Revisiting Inclusive Decay Widths of Charmed Mesons
• Inclusive semileptonic B decays from QCD with NLO accuracy for power suppressed terms
• Disintegration of beauty: a precision study
• Lifetimes of singly charmed hadrons
• Contribution of the Darwin operator to non-leptonic decays of heavy quarks
• Three-loop corrections to the muon and heavy quark decay rates
• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• Towards a Next-to-Next-to-Leading Order analysis of matching in $B^0$-${\bar{B}}^0$ mixing
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• Quark-hadron duality at work: lifetimes of bottom baryons
• Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order

Cited by in corpus (2)

• Study of singly heavy baryon lifetimes
• Revisiting lifetimes of doubly charmed baryons